Search a number
-
+
151600052214 = 2321323179157363
BaseRepresentation
bin1000110100110000010…
…0010011011111110110
3112111022021020120212200
42031030010103133312
54440434103132324
6153351043125330
713644535116342
oct2151404233766
9474267216780
10151600052214
1159325306056
122546a673846
13113acc02c10
1474a209a622
153e242ddec9
hex234c1137f6

151600052214 has 96 divisors (see below), whose sum is σ = 371177614080. Its totient is φ = 44368530624.

The previous prime is 151600052171. The next prime is 151600052221. The reversal of 151600052214 is 412250006151.

151600052214 is a `hidden beast` number, since 1 + 5 + 1 + 600 + 0 + 52 + 2 + 1 + 4 = 666.

151600052214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 884697 + ... + 1042059.

It is an arithmetic number, because the mean of its divisors is an integer number (3866433480).

Almost surely, 2151600052214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151600052214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185588807040).

151600052214 is an abundant number, since it is smaller than the sum of its proper divisors (219577561866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151600052214 is a wasteful number, since it uses less digits than its factorization.

151600052214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157586 (or 157583 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 151600052214 its reverse (412250006151), we get a palindrome (563850058365).

The spelling of 151600052214 in words is "one hundred fifty-one billion, six hundred million, fifty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 179 207 234 299 358 414 537 598 897 1074 1611 1794 2327 2691 3222 4117 4654 5382 6981 8234 12351 13962 20943 24702 37053 41886 53521 74106 107042 157363 160563 314726 321126 472089 481689 944178 963378 1416267 2045719 2832534 3619349 4091438 6137157 7238698 10858047 12274314 18411471 21716094 28167977 32574141 36822942 47051537 56335954 65148282 84503931 94103074 141154611 169007862 253511793 282309222 366183701 423463833 507023586 647863471 732367402 846927666 1098551103 1295726942 1943590413 2197102206 3295653309 3887180826 5830771239 6591306618 8422225123 11661542478 16844450246 25266675369 50533350738 75800026107 151600052214